Results 11 to 20 of about 10,757,449 (291)
Non-uniform Berry–Esseen bounds via Malliavin–Stein method [PDF]
Comptes Rendus. MathématiqueIn this paper, we establish non-uniform Berry–Esseen bounds by means of the Malliavin–Stein method. Applications to the multiple Wiener–Itô integrals and the exponential functionals of Brownian motion are given to illustrate the theory.
Tien Dung, Nguyen +2 more
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New non-uniform lower bounds for uniform classes [PDF]
, 2016 We strengthen the nondeterministic hierarchy theorem for non-deterministic polynomial time to show that the lower bound holds against sub-linear advice. More formally, we show that for any constants d and d' such that 1
Santhanam, R +3 more
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Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I [PDF]
IEEE Transactions on Information Theory, 2019 Bobkov SG, Chistyakov G, Götze F. Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I. IEEE Transactions on Information Theory.
Chistyakov, Gennadiy +3 more
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Non-uniform bounds and edgeworth expansions in self-normalized limit theorems
Journal of Theoretical ProbabilityWe study Edgeworth expansions in limit theorems for self-normalized sums. Non-uniform bounds for expansions in the central limit theorem are established while imposing only minimal moment conditions. Within this result, we address the case of non-integer
Beckedorf, Pascal, Rohde, Angelika
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Non-uniform corner cutting [PDF]
, 1988 The convergence of a non-uniform corner cutting process is investigated. It is shown that the limit curve will be differentiable provided the proportions of the corner cuts are kept within appropriate constraints.
Gregory, JA, Qu, R
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A non-uniform bound for translated Poisson approximation [PDF]
Electronic Journal of Probability, 2004 Let $X_1, ldots , X_n$ be independent, integer valued random variables, with $p^{text{th}}$ moments, $p >2$, and let $W$ denote their sum. We prove bounds analogous to the classical non-uniform estimates of the error in the central limit theorem, but now, for approximation of $law(W)$ by a translated Poisson distribution.
Barbour, A.D., Choi, K.P.
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Optimal Non-Uniform Sampling by Branch-and-Bound Approach for Speech Coding [PDF]
IEEE Access, 2022 Speech coding plays a significant role in voice communication and improving network bandwidth efficiency for applications that require long-distance communication or storage space utilization. Non-uniform sampling (NUS) is a technique for the same, which performs data reduction by sampling at irregular intervals.
Sakshi Pandey, Amit Banerjee
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Sharp indistinguishability bounds from non-uniform approximations
CoRR, 2021 We study the problem of distinguishing between two symmetric probability distributions over $n$ bits by observing $k$ bits of a sample, subject to the constraint that all $k-1$-wise marginal distributions of the two distributions are identical to each other. Previous works of Bogdanov et al.
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Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices [PDF]
, 2011 A uniform bound on the 1-norm is given for the inverse of a lower triangular Toeplitz matrix with non-negative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints.
Yuan, Y.X. +3 more
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